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Finding the Third Proportional to 460,882,539 and 673,826,382

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Solution

The third proportional to 460,882,539 and 673,826,382 is: 985,157,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,539 : 673,826,382 = 673,826,382 : x
  2. Step 2: Convert to fraction form
    460,882,539/673,826,382 = 673,826,382/x
  3. Step 3: Cross multiply
    460,882,539x = 673,826,382 × 673,826,382
  4. Step 4: Simplify right side
    460,882,539x = 454,041,993,079,209,920
  5. Step 5: Solve for x
    x = 454,041,993,079,209,920/460,882,539
  6. Step 6: Final answer
    x = 985,157,723.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.